2251045888 has 352 divisors, whose sum is σ = 6190128000. Its totient is φ = 809238528.

The previous prime is 2251045817. The next prime is 2251045891. The reversal of 2251045888 is 8885401522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77622258 + ... + 77622286.

Almost surely, 2^2251045888 is an apocalyptic number.

2251045888 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251045888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095064000).

2251045888 is an abundant number, since it is smaller than the sum of its proper divisors (3939082112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2251045888 is a wasteful number, since it uses less digits than its factorization.

2251045888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 43.

The square root of 2251045888 is about 47445.1882491787. The cubic root of 2251045888 is about 1310.5737028361.

The spelling of 2251045888 in words is "two billion, two hundred fifty-one million, forty-five thousand, eight hundred eighty-eight".